1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
seraphim [82]
2 years ago
13

A merry-go-round rotates from rest with an angular acceleration of 1.45 rad/s2. How long does it take to rotate through (a) the

first 3.70 rev and (b) the next 3.70 rev?
Physics
1 answer:
elena55 [62]2 years ago
7 0

Answer:

(a) t = 5.66 s

(b) t = 8 s

Explanation:

(a)

Here we will use 2nd equation of motion for angular motion:

θ = ωi t + (1/2)∝t²

where,

θ = Angular Displacement = (3.7 rev)(2π rad/1 rev) = 23.25 rad

ωi = initial angular speed = 0 rad/s

t = time = ?

∝ = angular acceleration = 1.45 rad/s²

Therefore,

23.25 rad = (0 rad/s)(t) + (1/2)(1.45 rad/s²)t²

t² = (23.25 rad)(2)/(1.45 rad/s²)

t = √(32.06 s²)

<u>t = 5.66 s</u>

<u></u>

(b)For next 3.7 rev

θ = ωi t + (1/2)∝t²

where,

θ = Angular Displacement = (3.7 rev + 3.7 rev)(2π rad/1 rev) = 46.5 rad

ωi = initial angular speed = 0 rad/s

t = time = ?

∝ = angular acceleration = 1.45 rad/s²

Therefore,

46.5 rad = (0 rad/s)(t) + (1/2)(1.45 rad/s²)t²

t² = (46.5 rad)(2)/(1.45 rad/s²)

t = √(64.13 s²)

<u>t = 8 s</u>

You might be interested in
The energy of a photon is proportional to its a) amplitude. d) wave number, k-2m/A c) velocity. b) frequency
Scilla [17]

Answer:

Frequency

Explanation:

Photons are the packet of energy. They are massless and chargeless particles. They travel in the vacuum with the speed of light. The energy of photon is given by :

E=h\nu

Where

h = Planck's constant

\nu = frequency of photon

Or E=\dfrac{hc}{\lambda}

c = speed of light

\lambda = wavelength of photon

From the above equation, it is clear that the energy of photon is directly proportional to its frequency.

5 0
3 years ago
ou have designed and constructed a solenoid to produce a magnetic field equal in magnitude to that of the Earth (5.0 10-5 T). If
Nikitich [7]

Answer:

I = 0.0256 A

Explanation:

Given,

Magnetic field, B = 5 x 10⁻⁵ T

Number of turns, N = 450

length = 29 cm

Current,I = ?

Using formula of magnetic field due to solenoid

B = \mu_0 NI

I = \dfrac{B}{\mu_0N}

I = \dfrac{5\times 10^{-5}\times 0.29}{450\times 4\pi \times 10^{-7}}

I = 0.0256 A

Hence, the current obtained is equal to 0.0256 A.

5 0
3 years ago
Name each type of symbiosis and explain how the two species are affected
disa [49]
Frogs
snakes if there food chain is mesesed up it dont work no more

7 0
3 years ago
What is one of the forms of a gene called?
vaieri [72.5K]

Answer:

Explanation:

.

4 0
3 years ago
Read 2 more answers
In what direction must a force be applied so that the forces on the 1 kg object are balanced
choli [55]

Answer:

towards the object

Explanation:

7 0
3 years ago
Other questions:
  • A cell phone company relies on which kind of waves in order to provide service for its customers?
    11·2 answers
  • Determina la presion hidrostatica en el fondo de una alberca olimpica de 8metros de profundidad
    8·1 answer
  • Help please :) 15 points.
    8·1 answer
  • Which of these equations will you used to find the final velocity if the initial
    13·1 answer
  • Explain what the ionosphere is and how it interacts with some radio waves.
    13·1 answer
  • If the power developed in an electric circuit is doubled the energy used in one second is
    14·1 answer
  • Compare the freezing point of water in the aquanaut’s apartment to its value at the surface. Is it higher, lower, or the same?
    5·1 answer
  • Plate] term 3 quiz 1 physics grade 9
    8·1 answer
  • What is formed when two or more
    11·2 answers
  • 10 Why is it important for basketball players to wear shoes with tread when playing? to increase the speed of the player to decr
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!